Find the LCM of 303, 606, 314, 742 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 303, 606, 314, 742. So, keep reading to learn more.
Given numbers are 303,606,314,742
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 303,606,314,742 is 35297682.
Find LCM of 303,606,314,742 with Prime Factorization
2 | 303, 606, 314, 742 |
3 | 303, 303, 157, 371 |
101 | 101, 101, 157, 371 |
1, 1, 157, 371 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 101 x 1 x 1 x 157 x 371 = 35297682
Therefore, the lowest common multiple of 303,606,314,742 is 35297682.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
303 x 606 x 314 x 742 = 42780790584
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
303 : 1, 3, 101, 303
606 : 1, 2, 3, 6, 101, 202, 303, 606
314 : 1, 2, 157, 314
742 : 1, 2, 7, 14, 53, 106, 371, 742
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 303,606,314,742, is 1.
Now, the common factors can be found like this.
303:3x 101
606:2x 3x 101
314:2x 157
742:2x 7x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 101 = 1212
Therefore, the value for common factors is 1212.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 42780790584/(1x1212)
LCM = 42780790584/1212
LCM = 35297682
Thus, we can understand that the LCM of 303,606,314,742 is 35297682.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 303, 606, 314, 742?
Answer: LCM of 303, 606, 314, 742 is 35297682.
2. How to calculate the LCM of 303, 606, 314, 742?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 303, 606, 314, 742.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.